A research center claims that more than 25 ​% of employees in a certain country have changed jobs in the past four   years. In a random sample of 260   people from that​ country, 78   have changed jobs in the past four   years. At alpha equals0.05 ​, is there enough evidence to support the​ center's claim? Complete parts​ (a) through​ (e) below. ​(a) Identify the claim and state Upper H 0   and Upper H Subscript a .   Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. ​(Type an integer or a decimal. Do not​ round.)   A. At most nothing ​% of employees in the country have changed jobs in the past four   years.   B. More than nothing ​% of employees in the country have changed jobs in the past four   years.   C. nothing ​% of employees in the country have changed jobs in the past four   years.   D. The percentage of employees in the country who have changed jobs in the past four   years is not nothing ​%. Let p be the population proportion of​ successes, where a success is an employee in the country who has changed jobs in the past four   years. State Upper H 0   and Upper H Subscript a . Select the correct choice below and fill in the answer boxes to complete your choice. ​(Round to two decimal places as​ needed.)   A. Upper H 0 ​: pgreater than or equals nothing Upper H Subscript a ​: pless than nothing     B. Upper H 0 ​: pless than nothing Upper H Subscript a ​: pgreater than or equals nothing     C. Upper H 0 ​: pless than or equals nothing Upper H Subscript a ​: pgreater than nothing     D. Upper H 0 ​: pnot equals nothing Upper H Subscript a ​: pequals nothing     E. Upper H 0 ​: pequals nothing Upper H Subscript a ​: pnot equals nothing     F. Upper H 0 ​: pgreater than nothing Upper H Subscript a ​: pless than or equals nothing   ​(b) Find the critical​ value(s) and identify the rejection​ region(s).   Identify the critical​ value(s) for this test.   z 0 equalsnothing ​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.) Identify the rejection​ region(s). Select the correct choice below and fill in the answer​ box(es) to complete your choice. ​(Round to two decimal places as​ needed.)   A. The rejection region is zless than nothing .   B. The rejection regions are zless than nothing   and zgreater than nothing .   C. The rejection region is zgreater than nothing .   D. The rejection region is nothing less thanzless thannothing . ​(c) Find the standardized test statistic z.   zequals nothing ​(Round to two decimal places as​ needed.) ​(d) Decide whether to reject or fail to reject the null hypothesis and​ (e) interpret the decision in the context of the original claim.   ▼   Reject Fail to reject the null hypothesis. There ▼   is not is enough evidence to ▼   reject support

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Chapter1: Starting With Matlab
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A research center claims that more than

25
​%

of employees in a certain country have changed jobs in the past

four
 

years. In a random sample of

260
 

people from that​ country,

78
 

have changed jobs in the past

four
 

years. At

alpha

equals0.05

​,
is there enough evidence to support the​ center's claim? Complete parts​ (a) through​ (e) below.
​(a) Identify the claim and state
Upper H 0
 

and

Upper H Subscript a
.
 
Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.
​(Type an integer or a decimal. Do not​ round.)
 
A.
At most
nothing
​%

of employees in the country have changed jobs in the past

four
 
years.
 
B.
More than
nothing
​%

of employees in the country have changed jobs in the past

four
 
years.
 
C.
nothing
​%

of employees in the country have changed jobs in the past

four
 
years.
 
D.
The percentage of employees in the country who have changed jobs in the past
four
 

years is not

nothing
​%.
Let p be the population proportion of​ successes, where a success is an employee in the country who has changed jobs in the past
four
 

years. State

Upper H 0
 

and

Upper H Subscript a
.
Select the correct choice below and fill in the answer boxes to complete your choice.
​(Round to two decimal places as​ needed.)
 
A.
Upper H 0
​:
pgreater than or equals

nothing

Upper H Subscript a
​:
pless than

nothing

 
 
B.
Upper H 0
​:
pless than

nothing

Upper H Subscript a
​:
pgreater than or equals

nothing

 
 
C.
Upper H 0
​:
pless than or equals

nothing

Upper H Subscript a
​:
pgreater than

nothing

 
 
D.
Upper H 0
​:
pnot equals

nothing

Upper H Subscript a
​:
pequals

nothing

 
 
E.
Upper H 0
​:
pequals

nothing

Upper H Subscript a
​:
pnot equals

nothing

 
 
F.
Upper H 0
​:
pgreater than

nothing

Upper H Subscript a
​:
pless than or equals

nothing

 
​(b) Find the critical​ value(s) and identify the rejection​ region(s).
 
Identify the critical​ value(s) for this test.
 
z 0

equalsnothing

​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)
Identify the rejection​ region(s). Select the correct choice below and fill in the answer​ box(es) to complete your choice.
​(Round to two decimal places as​ needed.)
 
A.
The rejection region is
zless than

nothing

.
 
B.
The rejection regions are
zless than

nothing

 

and

zgreater than

nothing

.
 
C.
The rejection region is
zgreater than

nothing

.
 
D.
The rejection region is
nothing

less thanzless thannothing

.
​(c) Find the standardized test statistic z.
 
zequals

nothing

​(Round to two decimal places as​ needed.)
​(d) Decide whether to reject or fail to reject the null hypothesis and​ (e) interpret the decision in the context of the original claim.
 
 
Reject
Fail to reject
the null hypothesis. There
 
is not
is
enough evidence to
 
reject
support
the​ center's claim.
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